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Fixed Point Theorems for Expanding Maps
(University of Texas at Arlington, 1981-03)
**Please note that the full text is embargoed** ABSTRACT: Suppose (X,d) is a metric space, h > 0 and T: X -> X. We shall use the notation T E E(h) to mean [see pdf for notation] for each x,y E X. If h > 1, then T will be ...
Zeros of Bouligand-Nagumo Fields, Flow-Invariance and the Bouwer Fixed Point Theorem
(University of Texas at Arlington, 1987)
**Please note that the full text is embargoed** ABSTRACT: Mainly, in this paper we prove that if D is a convex compact of Rn, then the Brouwer fixed point property of D is equivalent to the fact that every Bouligand-Nagums ...